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MATHEMATICS 420/507, PROBLEM SET 2 Due on Friday, October 9, 2015 Write clearly and legibly, in complete sentences. You may discuss the homework with other students, but the final write-up must be your own. If your solution uses any results not introduced in class, state the result clearly and provide either a reference or a proof. 1. Section 1.4, Problem 18. (15 marks, 5 for each part) 2. Section 1.4, Problem 22(a). (10 marks) 3. Section 1.4, Problem 23. (15 marks, 5 for each part. Proposition 1.7 was not covered in class but you can use it here without proof if you wish.) 4. Section 1.5, Problem 30. (10 marks) 1